Blues get better of former messiah Mourinho
"It's always nice to see him, he was a big part of Chelsea's success and now we're moving on," he said.
"We have a new manager now and we're happy for him because he won his second game out of two so it's all good.
"We're working hard, this is only the start and we want to be ready for the start of the season."
Frank Lampard sealed the win from the penalty spot in their second game of their pre-season tour of the United States.
Chelsea continue their schedule against Inter's city rivals and Ancelotti's former club, AC Milan, on Saturday.
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